LMS order statistic filters adaptation by backpropagation

Abstract

Abstract A novel class of nonlinear adaptive filters based on order statistics is presented. An LMS algorithm for their adaptation is proposed. This algorithm is essentially a backpropagation algorithm for the adaptation of coefficients that are used before data sorting. The nonlinear filters that can become adaptive by the techniques presented in this paper are the median hybrid filter, the general nonlinear filter structure, the L -filters and the Ll -filters.